This is a symbolic version of Problem 29. A river has a steady speed of v, A student swims upstream a distance d and back to the starting point. (a) If the student can swim at a speed of v in still water, how much time tup does it take the student to swim upstream a distance d? Express the answer in terms of d, v, and v,. (b) Using the same variables, how much time tdown does it take to swim back downstream to the start- ing point? (c) Sum the answers found in parts (a) and (b) and show that the time t required for the whole trip can be written as 2d/v to 1 - v?/v? (d) How much time t, does the trip take in still water? (e) Which is larger, t, or t;? Is it always larger?

This is a symbolic version of Problem 29. A river has a steady speed of v, A student swims upstream a distance d and back to the starting point. (a) If the student can swim at a speed of v in still water, how much time tup does it take the student to swim upstream a distance d? Express the answer in terms of d, v, and v,. (b) Using the same variables, how much time tdown does it take to swim back downstream to the start- ing point? (c) Sum the answers found in parts (a) and (b) and show that the time t required for the whole trip can be written as 2d/v to 1 - v?/v? (d) How much time t, does the trip take in still water? (e) Which is larger, t, or t;? Is it always larger?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

This is a symbolic version of Problem 29. A river has
a steady speed of v, A student swims upstream a distance d
and back to the starting point. (a) If the student can swim at
a speed of v in still water, how much time tup does it take the
student to swim upstream a distance d? Express the answer in
terms of d, v, and v,. (b) Using the same variables, how much
time tdown does it take to swim back downstream to the start-
ing point? (c) Sum the answers found in parts (a) and (b)
and show that the time t required for the whole trip can be
written as
2d/v
to
1 - v?/v?
(d) How much time t, does the trip take in still water?
(e) Which is larger, t, or t;? Is it always larger?

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